Abstract
In this article, we investigate sufficient conditions for the existence and stability of solutions to a coupled system of psi-Caputo hybrid fractional derivatives of order 1 < upsilon <= 2 subjected to Dirichlet boundary conditions. We discuss the existence and uniqueness of solutions with the assistance of the Leray-Schauder alternative theorem and Banach's contraction principle. In addition, by using some mathematical techniques, we examine the stability results of Ulam-Hyers. Finally, we provide one example in order to show the validity of our results.